Magma V2.19-8 Tue Aug 20 2013 16:14:26 on localhost [Seed = 3616951254] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s433 geometric_solution 4.73771752 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384247643581 0.234721265441 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720482407603 0.923022101813 1 3 4 3 0132 0213 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687218565918 0.711516003243 2 4 2 1 3012 1023 0213 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687218565918 0.711516003243 3 5 5 2 1023 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941337672853 0.389551045181 4 4 5 5 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.489743324641 0.383198944456 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9*c_0101_4^5 + 31*c_0101_4^4 + 37*c_0101_4^3 - 44*c_0101_4^2 - 5*c_0101_4 + 12, c_0011_0 - 1, c_0011_1 + 3*c_0101_4^5 - 11*c_0101_4^4 - 11*c_0101_4^3 + 20*c_0101_4^2 + 4*c_0101_4 - 6, c_0011_3 + c_0101_4^5 - 3*c_0101_4^4 - 6*c_0101_4^3 + 4*c_0101_4^2 + 4*c_0101_4 - 1, c_0101_0 + c_0101_4^5 - 4*c_0101_4^4 - 3*c_0101_4^3 + 10*c_0101_4^2 + c_0101_4 - 4, c_0101_4^6 - 3*c_0101_4^5 - 6*c_0101_4^4 + 4*c_0101_4^3 + 5*c_0101_4^2 - c_0101_4 - 1, c_0101_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1089364915356/1025760799*c_0101_5^15 - 18480076531538/3077282397*c_0101_5^14 - 3290215615550/439611771*c_0101_5^13 + 21021285436208/3077282397*c_0101_5^12 - 75912796029985/3077282397*c_0101_5^11 - 111576684978575/439611771*c_0101_5^10 - 1985261440438088/3077282397*c_0101_5^9 - 288183541576960/439611771*c_0101_5^8 + 97523078876498/3077282397*c_0101_5^7 + 2159909783352562/3077282397*c_0101_5^6 + 576222265488509/1025760799*c_0101_5^5 + 76120125677558/3077282397*c_0101_5^4 - 145219363661135/1025760799*c_0101_5^3 - 112146600776239/3077282397*c_0101_5^2 + 29302816738841/3077282397*c_0101_5 + 9235536509977/3077282397, c_0011_0 - 1, c_0011_1 - 15723339368/3077282397*c_0101_5^15 - 29821850194/1025760799*c_0101_5^14 - 113232716393/3077282397*c_0101_5^13 + 33513177003/1025760799*c_0101_5^12 - 359867844520/3077282397*c_0101_5^11 - 1258784649582/1025760799*c_0101_5^10 - 9660902050829/3077282397*c_0101_5^9 - 471254662318/146537257*c_0101_5^8 + 415025103533/3077282397*c_0101_5^7 + 10584438443498/3077282397*c_0101_5^6 + 8549778113714/3077282397*c_0101_5^5 + 382844473300/3077282397*c_0101_5^4 - 2194283727511/3077282397*c_0101_5^3 - 194676906133/1025760799*c_0101_5^2 + 148742254958/3077282397*c_0101_5 + 51705961049/3077282397, c_0011_3 + 40854932326/3077282397*c_0101_5^15 + 10784247993/146537257*c_0101_5^14 + 266392371202/3077282397*c_0101_5^13 - 91704778691/1025760799*c_0101_5^12 + 988491959096/3077282397*c_0101_5^11 + 3206432817999/1025760799*c_0101_5^10 + 23864194534498/3077282397*c_0101_5^9 + 1111109764912/146537257*c_0101_5^8 - 2331868631185/3077282397*c_0101_5^7 - 25985111701663/3077282397*c_0101_5^6 - 19745085749503/3077282397*c_0101_5^5 - 342893126474/3077282397*c_0101_5^4 + 731609699531/439611771*c_0101_5^3 + 423777311383/1025760799*c_0101_5^2 - 49579760602/439611771*c_0101_5 - 111056687773/3077282397, c_0101_0 + 2964068557/146537257*c_0101_5^15 + 352178359984/3077282397*c_0101_5^14 + 439710832453/3077282397*c_0101_5^13 - 399565104406/3077282397*c_0101_5^12 + 206208186842/439611771*c_0101_5^11 + 14880748728856/3077282397*c_0101_5^10 + 37858433914279/3077282397*c_0101_5^9 + 5502775483217/439611771*c_0101_5^8 - 258352857253/439611771*c_0101_5^7 - 41245962475799/3077282397*c_0101_5^6 - 1575950305292/146537257*c_0101_5^5 - 1495741656721/3077282397*c_0101_5^4 + 2793714049494/1025760799*c_0101_5^3 + 2193968059586/3077282397*c_0101_5^2 - 556901241730/3077282397*c_0101_5 - 183462100373/3077282397, c_0101_4 + 10884563443/3077282397*c_0101_5^15 + 58464582902/3077282397*c_0101_5^14 + 20854422356/1025760799*c_0101_5^13 - 76452536789/3077282397*c_0101_5^12 + 93343292039/1025760799*c_0101_5^11 + 2499296308928/3077282397*c_0101_5^10 + 1993784139496/1025760799*c_0101_5^9 + 789711228628/439611771*c_0101_5^8 - 310176478587/1025760799*c_0101_5^7 - 6457816302914/3077282397*c_0101_5^6 - 4615209287572/3077282397*c_0101_5^5 + 24651035453/3077282397*c_0101_5^4 + 1227273438236/3077282397*c_0101_5^3 + 322289502694/3077282397*c_0101_5^2 - 27401875024/1025760799*c_0101_5 - 29929470962/3077282397, c_0101_5^16 + 6*c_0101_5^15 + 9*c_0101_5^14 - 4*c_0101_5^13 + 21*c_0101_5^12 + 247*c_0101_5^11 + 690*c_0101_5^10 + 827*c_0101_5^9 + 183*c_0101_5^8 - 672*c_0101_5^7 - 758*c_0101_5^6 - 206*c_0101_5^5 + 126*c_0101_5^4 + 81*c_0101_5^3 + 3*c_0101_5^2 - 6*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB